The generator matrix

 1  0  1  1  1  0  1  1  4  1  1  0  1  1  1  6  1  1  1  2  0  1  2  1  1  2  1  1
 0  1  1  0  1  1  0  3  1  0  3  1  1  1  0  1  1  5  7  1  1  3  1  7  3  4  4  0
 0  0  2  0  0  0  0  0  2  0  2  6  4  0  6  4  6  4  2  2  6  2  0  2  0  0  2  0
 0  0  0  2  0  0  0  0  2  2  6  4  0  6  2  6  6  6  4  6  0  0  6  6  6  0  2  0
 0  0  0  0  2  0  0  2  0  2  2  2  4  6  4  6  2  0  0  6  0  6  6  0  6  4  0  0
 0  0  0  0  0  2  6  2  2  0  6  4  2  6  0  4  4  2  2  4  4  6  2  6  0  6  2  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4  0  0  0
 0  0  0  0  0  0  0  4  0  4  4  0  4  0  0  4  0  0  4  0  4  4  0  0  0  0  4  0

generates a code of length 28 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+66x^18+80x^19+323x^20+452x^21+832x^22+1708x^23+2383x^24+6002x^25+5196x^26+12216x^27+6880x^28+12192x^29+5352x^30+6112x^31+2393x^32+1756x^33+770x^34+344x^35+283x^36+76x^37+72x^38+20x^39+23x^40+2x^41+2x^44

The gray image is a code over GF(2) with n=112, k=16 and d=36.
This code was found by Heurico 1.16 in 40.6 seconds.